not possible because rows do not match columns

Solve system by using Cramer's Rule. Answers are written in the following form (x,y) 2 x + 3 y = 15 2x+3y=15 2 x + 3 y = 1 5 x − 3 y = 3 x-3y=3 x − 3 y = 3

( 6 , 1 ) \left(6,1\right) ( 6 , 1 )

( 1 , 6 ) \left(1,6\right) ( 1 , 6 )

( 6 , − 1 ) \left(6,-1\right) ( 6 , − 1 )

( − 1 , 6 ) \left(-1,6\right) ( − 1 , 6 )

When setting up Cramer's Rule, what is the 2x2 determinant for the numerator for the x in the system?

∣ − 16 − 2 ∣ \left|-16\ \ \ -2\right| ∣ − 1 6 − 2 ∣ ∣ − 26 − 4 ∣ \left|-26\ \ \ \ -4\right| ∣ − 2 6 − 4 ∣

∣ − 4 − 2 ∣ \left|-4\ \ \ -2\right| ∣ − 4 − 2 ∣ ∣ − 5 − 4 ∣ \left|-5\ \ \ -4\right|\ ∣ − 5 − 4 ∣

∣ − 4 − 16 ∣ \left|-4\ \ \ -16\right| ∣ − 4 − 1 6 ∣ ∣ − 5 − 26 ∣ \left|-5\ \ -26\right| ∣ − 5 − 2 6 ∣

∣ − 4 − 4 ∣ \left|-4\ \ -4\right| ∣ − 4 − 4 ∣ ∣ − 2 − 5 ∣ \left|-2\ \ -5\right| ∣ − 2 − 5 ∣

When setting up Cramer's Rule, what is the 2x2 determinant for the numerator for the y in the system?

∣ − 4 − 16 ∣ \left|-4\ \ \ -16\right| ∣ − 4 − 1 6 ∣ ∣ − 5 − 26 ∣ \left|-5\ \ -26\right| ∣ − 5 − 2 6 ∣

∣ − 4 − 2 ∣ \left|-4\ \ \ -2\right| ∣ − 4 − 2 ∣ ∣ − 5 − 4 ∣ \left|-5\ \ \ -4\right|\ ∣ − 5 − 4 ∣

∣ − 16 − 2 ∣ \left|-16\ \ \ -2\right| ∣ − 1 6 − 2 ∣ ∣ − 26 − 4 ∣ \left|-26\ \ \ \ -4\right| ∣ − 2 6 − 4 ∣

∣ − 4 − 4 ∣ \left|-4\ \ -4\right| ∣ − 4 − 4 ∣ ∣ − 2 − 5 ∣ \left|-2\ \ -5\right| ∣ − 2 − 5 ∣

When setting up Cramer's Rule, what is the 2x2 determinant for the denominator for the y in the system?

∣ − 4 − 2 ∣ \left|-4\ \ \ -2\right| ∣ − 4 − 2 ∣ ∣ − 5 − 4 ∣ \left|-5\ \ \ -4\right|\ ∣ − 5 − 4 ∣

∣ − 4 − 16 ∣ \left|-4\ \ \ -16\right| ∣ − 4 − 1 6 ∣ ∣ − 5 − 26 ∣ \left|-5\ \ -26\right| ∣ − 5 − 2 6 ∣

∣ − 16 − 2 ∣ \left|-16\ \ \ -2\right| ∣ − 1 6 − 2 ∣ ∣ − 26 − 4 ∣ \left|-26\ \ \ \ -4\right| ∣ − 2 6 − 4 ∣

∣ − 4 − 4 ∣ \left|-4\ \ -4\right| ∣ − 4 − 4 ∣ ∣ − 2 − 5 ∣ \left|-2\ \ -5\right| ∣ − 2 − 5 ∣

What is the inverse of the following matrix? ⌈4 −3⌉ ⌊12 3⌋ *det= 38

⌈³∕₃₈ ³∕₃₈⌉ ⌊−⁶∕₁₉ ²∕₁₉⌋

⌈⁴∕₃₈ −³∕₃₈⌉ ⌊¹²∕₃₈ ³∕₃₈⌋

⌈²∕₁₉ −³∕₃₈⌉ ⌊−⁶∕₁₉ ³∕₃₈⌋

⌈³∕₃₈ ³∕₃₈⌉ ⌊−¹²∕₃₈ ⁴∕₃₈⌋

Matrices

Authored by Ashley Faust

Mathematics

11th Grade

CCSS covered

Used 15+ times

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40 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Add

11 8
-4 2

3 2
-6 -6

-3 2
-4 -6

10 8
-6 2

Tags

CCSS.HSN.VM.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find A+B

8 10
8 1

12 25
7 1

10 30
0 1

can't add two together because the rows dont match columns

Tags

CCSS.HSN.VM.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What do m, n, p and q equal in this scalar matrix multiplication?

m=8, n=9, p=-4, q=4

m=15, n = -45, p=20, q=-5

m=20, n=-5, p=15, q=-45

m=-5, n=20, p=-45, q=15

Tags

CCSS.HSN.VM.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the dimensions of this matrix?

2 x 3

3 x 2

6 x 1

1 x 6

Tags

CCSS.HSN.VM.C.8

CCSS.HSN.VM.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Multiply

20 15 -10
30 -5 0

-20 15 -10
30 -5 0

1 8 3
11 4 5

20 -15 10
-30 5 0

Tags

CCSS.HSN.VM.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What comes first in the order?

Row

Column

Tags

CCSS.2.G.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What must be true in order to ADD two matrices?

They must be square.

The dimensions must be equal.

The determinant can't equal 0.

The column of the 1st must equal the row of the 2nd.

Tags

CCSS.HSN.VM.C.8

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Matrices

Add

Find A+B

What do m, n, p and q equal in this scalar matrix multiplication?

What are the dimensions of this matrix?

Multiply

What comes first in the order?

What must be true in order to ADD two matrices?

What are the dimensions of this matrix?

How many rows are in a 7 x 3 matrix?

How many columns are in a 5 x 4 matrix?

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